学术报告

Dynamical behavior near explicit self-similar blow up solutions for Born-Infeld equation

报告人: 闫卫平 副教授(厦门大学)

时间与地点:2018-11-16 16:00,数学实验室

摘要:This paper studies the dynamical behavior near a new family of explicit singularity solutions (self-similar solutions) for the classcial Born-Infeld equation in 1+1 dimension. This family of explicit self-similar blowup solutions admits smooth initial data and finite energy in their definition domain. Lynapunov nonlinear stability of those self-similar solutions are given inside a strictly proper subset of the backward light cone.

报告人简历:闫卫平, 厦门大学数学科学学院副教授,2011年博士毕业于吉林大学,北京大学北京国际数学研究中心博士后。主要从事动力系统与几何分析的研究,目前主持国家自然科学基金面上项目一项,福建省自然科学基金一项,文章发表在Phys. Lett. A., J. Math. Phys. , Discrete Contin. Dyn. Syst. A. , J. Differential. Equations等学术刊物上。